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Finding the Fourth Proportional to 305,030.52, 457,545.76 and 83,414.52

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Solution

The fourth proportional to 305,030.52, 457,545.76 and 83,414.52 is: 125,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,030.52 : 457,545.76 = 83,414.52 : x
  2. Step 2: Convert to fraction form
    305,030.52/457,545.76 = 83,414.52/x
  3. Step 3: Cross multiply
    305,030.52x = 457,545.76 × 83,414.52
  4. Step 4: Simplify right side
    305,030.52x = 38,165,959,948.44
  5. Step 5: Solve for x
    x = 38,165,959,948.44/305,030.52
  6. Step 6: Final answer
    x = 125,121.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.